Question

A cube with a length of 37 miles, a width of 30 miles and a depth of 2 mles can be used to model a large lake located in the Unted States of America Only 65% of the lake contans fish If there are 115,200 fish n this lake, what is the average population density of fish per cubic mile, to the nearest fish?

Answer 1

80 fish per cubic mile.

Answer 2

Find the volume of the lake:

37 x 30 x 2 = 2,220 cubic miles.

Now find 65% of the total volume:

2,220 x 0.65 = 1,443 cubic miles

Divide the number of fish by the volume of the lake:

115, 200 fish / 1,443 cubic miles = 79.83 fish per cubic mile.

Rounded to the nearest fish = 80 fish per cubic mile.